Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.
Phys Rev Lett. 2010 Sep 3;105(10):101102. doi: 10.1103/PhysRevLett.105.101102. Epub 2010 Sep 2.
We describe the behavior of 5-dimensional black strings, subject to the Gregory-Laflamme instability. Beyond the linear level, the evolving strings exhibit a rich dynamics, where at intermediate stages the horizon can be described as a sequence of 3-dimensional spherical black holes joined by black string segments. These segments are themselves subject to a Gregory-Laflamme instability, resulting in a self-similar cascade, where ever-smaller satellite black holes form connected by ever-thinner string segments. This behavior is akin to satellite formation in low-viscosity fluid streams subject to the Rayleigh-Plateau instability. The simulation results imply that the string segments will reach zero radius in finite asymptotic time, whence the classical space-time terminates in a naked singularity. Since no fine-tuning is required to excite the instability, this constitutes a generic violation of cosmic censorship.
我们描述了受 Gregory-Laflamme 不稳定性影响的 5 维黑弦的行为。在线性水平之外，演化中的弦表现出丰富的动力学，在中间阶段，视界可以描述为由通过黑弦段连接的 3 维球形黑洞组成的序列。这些段本身受到 Gregory-Laflamme 不稳定性的影响，导致自相似级联，其中越来越小的卫星黑洞通过越来越细的弦段连接形成。这种行为类似于在低粘度流体流中受 Rayleigh-Plateau 不稳定性影响的卫星形成。模拟结果表明，弦段将在有限的渐近时间内达到零半径，从而经典时空在裸奇点处终结。由于不需要微调来激发不稳定性，这构成了对宇宙审查的普遍违反。
